Room Modes in a 19x21 ft Room with a 9 ft Ceiling

This 19x21 ft room, 9 ft to the ceiling, is a common size for a dedicated home theater or media room. Like any sealed box it resonates at fixed low notes; the lowest one lands at 26.8 Hz, driven by the 21 ft length.

On the 0-100 modal score, this room comes in at 82, a strong score for an untreated room. Before you treat anything, know that two of its dimensions reinforce the same note near 187.6 Hz.

Lowest mode
26.8 Hz
Modes under 200 Hz
128
Schroeder frequency
125 Hz
Modal score
82/100

Mode spectrum

Mode spectrum · log frequency · stem height ≈ relative energy
Axial Tangential Oblique Cluster

5 dense clusters (≤5 Hz apart) — overlapping resonances are harder to treat evenly.

Each line is one standing wave. Axial modes, the strongest kind, stand tallest; tight bunches and wide empty stretches are where the bass will sound uneven.

Axial modes by dimension

Dimension1st2nd3rd4th
Length (21 ft)26.8 Hz53.6 Hz80.4 Hz107.2 Hz
Width (19 ft)29.6 Hz59.2 Hz88.8 Hz118.5 Hz
Ceiling height (9 ft)62.5 Hz125 Hz187.6 Hz250.1 Hz

What this means for your room

  • The lowest room mode is 26.8 Hz, set by the 21 ft length.
  • Your 21 ft length and 9 ft ceiling height both resonate at 187.6 Hz, so bass at that note will be much louder than its neighbours.
  • Between 39.9 Hz and 53.6 Hz there are no modes at all, so notes in that 13.7 Hz gap will sound thinner than the bass around them.
  • The proportions (1 : 2.11 : 2.33) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 125 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Because your 21 ft length and 9 ft ceiling are close in size, their modes stack near 187.6 Hz. Expect that one note to sound louder, and ring longer, than the rest of the bass in this room.

In a home theater, this shows up as one bass note in an action scene sounding far louder than the rest of the mix, usually a kick drum hit or an LFE cue landing right on that stacked note. In a music room, the same thing means certain bass notes on a track jump out while others next to them feel buried.

At a ratio of 1 : 2.11 : 2.33, this room sits inside the Bolt area, the zone where modes tend to spread out rather than pile up. Shape is doing you a favor here.

How to fix it, in order

  1. Put your first traps in the four vertical corners where floor meets ceiling; that is where every mode in this room reaches its loudest point, ceiling height included.
  2. At 187.6 Hz the quarter wavelength is about 1.5 ft, deeper than any practical panel, so a porous trap alone will not fully absorb that note. Build corner traps as thick as you can fit (6 to 12 in, straddling the corner with an air gap behind) to take the edge off, then handle the note itself with a membrane or pressure trap tuned near it, careful seat position, and more than one subwoofer with EQ.
  3. Avoid the exact middle of the 21 ft length for your seat or mix position; try around 8 ft from the front wall (38% of the length) as a starting point, then nudge from there by ear.
  4. Test more than one subwoofer position. Corner placement drives the most output but also the least even bass; moving it along a wall or using two subs at different spots tends to average out this room’s peaks.
  5. Confirm the fix with an REW measurement at the listening position, paying closest attention below 125 Hz; above that, general room reverb matters more than any single mode.

These numbers assume an empty rectangular 19x21 room with hard walls. Draw your real room, add furniture and speakers, and simulate the bass at your seat.

Model this room in 3D

Every mode below 200 Hz

This room has 128 modes below 200 Hz, 16 axial, 61 tangential and 51 oblique. Read the axial rows as the ones you will hear most clearly. Tangential and oblique modes add texture but usually only become audible when they land close to an axial mode.

FrequencyTypeMode (length, width, height)
26.8 Hzaxial(1,0,0)
29.6 Hzaxial(0,1,0)
39.9 Hztangential(1,1,0)
53.6 Hzaxial(2,0,0)
59.2 Hzaxial(0,2,0)
61.2 Hztangential(2,1,0)
62.5 Hzaxial(0,0,1)
65 Hztangential(1,2,0)
68 Hztangential(1,0,1)
69.2 Hztangential(0,1,1)
74.2 Hzoblique(1,1,1)
79.9 Hztangential(2,2,0)
80.4 Hzaxial(3,0,0)
82.3 Hztangential(2,0,1)
85.7 Hztangential(3,1,0)
86.1 Hztangential(0,2,1)
87.5 Hzoblique(2,1,1)
88.8 Hzaxial(0,3,0)
90.2 Hzoblique(1,2,1)
92.8 Hztangential(1,3,0)
99.8 Hztangential(3,2,0)
101.4 Hzoblique(2,2,1)
101.8 Hztangential(3,0,1)
103.8 Hztangential(2,3,0)
106 Hzoblique(3,1,1)
107.2 Hzaxial(4,0,0)
108.6 Hztangential(0,3,1)
111.2 Hztangential(4,1,0)
111.9 Hzoblique(1,3,1)
117.8 Hzoblique(3,2,1)
118.5 Hzaxial(0,4,0)
119.8 Hztangential(3,3,0)
121.1 Hzoblique(2,3,1)
121.4 Hztangential(1,4,0)
122.5 Hztangential(4,2,0)
124.1 Hztangential(4,0,1)
125 Hzaxial(0,0,2)
127.6 Hzoblique(4,1,1)
127.9 Hztangential(1,0,2)
128.5 Hztangential(0,1,2)
130 Hztangential(2,4,0)
131.3 Hzoblique(1,1,2)
133.9 Hztangential(0,4,1)
134 Hzaxial(5,0,0)
135.1 Hzoblique(3,3,1)
136 Hztangential(2,0,2)
136.6 Hzoblique(1,4,1)
137.2 Hztangential(5,1,0)
137.5 Hzoblique(4,2,1)
138.4 Hztangential(0,2,2)
139.2 Hztangential(4,3,0)
139.2 Hzoblique(2,1,2)
140.9 Hzoblique(1,2,2)
143.2 Hztangential(3,4,0)
144.3 Hzoblique(2,4,1)
146.5 Hztangential(5,2,0)
147.8 Hztangential(5,0,1)
148.1 Hzaxial(0,5,0)
148.4 Hzoblique(2,2,2)
148.6 Hztangential(3,0,2)
150.5 Hztangential(1,5,0)
150.8 Hzoblique(5,1,1)
151.6 Hzoblique(3,1,2)
152.6 Hzoblique(4,3,1)
153.4 Hztangential(0,3,2)
155.7 Hzoblique(1,3,2)
156.2 Hzoblique(3,4,1)
157.5 Hztangential(2,5,0)
159.3 Hzoblique(5,2,1)
159.7 Hztangential(4,4,0)
160 Hzoblique(3,2,2)
160.7 Hztangential(0,5,1)
160.7 Hztangential(5,3,0)
160.8 Hzaxial(6,0,0)
162.5 Hzoblique(2,3,2)
162.9 Hzoblique(1,5,1)
163.5 Hztangential(6,1,0)
164.7 Hztangential(4,0,2)
167.3 Hzoblique(4,1,2)
168.5 Hztangential(3,5,0)
169.4 Hzoblique(2,5,1)
171.3 Hztangential(6,2,0)
171.5 Hzoblique(4,4,1)
172.2 Hztangential(0,4,2)
172.5 Hztangential(6,0,1)
172.5 Hzoblique(5,3,1)
173.2 Hzoblique(3,3,2)
174.3 Hzoblique(1,4,2)
175 Hzoblique(4,2,2)
175 Hzoblique(6,1,1)
177.7 Hzaxial(0,6,0)
178.8 Hztangential(5,4,0)
179.7 Hztangential(1,6,0)
179.7 Hzoblique(3,5,1)
180.4 Hzoblique(2,4,2)
182.4 Hzoblique(6,2,1)
182.8 Hztangential(4,5,0)
183.3 Hztangential(5,0,2)
183.7 Hztangential(6,3,0)
185.6 Hztangential(2,6,0)
185.6 Hzoblique(5,1,2)
187.1 Hzoblique(4,3,2)
187.6 Hzaxial(0,0,3)
187.6 Hzaxial(7,0,0)
188.4 Hztangential(0,6,1)
189.4 Hzoblique(5,4,1)
189.5 Hztangential(1,0,3)
189.9 Hztangential(0,1,3)
189.9 Hztangential(7,1,0)
190.1 Hzoblique(3,4,2)
190.3 Hzoblique(1,6,1)
191.8 Hzoblique(1,1,3)
192.6 Hzoblique(5,2,2)
193.2 Hzoblique(4,5,1)
193.8 Hztangential(0,5,2)
194 Hzoblique(6,3,1)
195 Hztangential(3,6,0)
195.1 Hztangential(2,0,3)
195.6 Hzoblique(1,5,2)
195.8 Hzoblique(2,6,1)
196.7 Hztangential(0,2,3)
196.7 Hztangential(7,2,0)
197.3 Hzoblique(2,1,3)
197.7 Hztangential(7,0,1)
198.5 Hzoblique(1,2,3)
199.7 Hztangential(5,5,0)
199.7 Hztangential(6,4,0)
199.9 Hzoblique(7,1,1)

Questions about 19x21 rooms

Will a 19x21 room work for a home theater?
This size fits a dedicated home theater or media room well. At 82/100, the modal score is good, so treatment here is mostly fine-tuning rather than fixing real problems.
Where should I put bass traps in a 19x21 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 187.6 Hz mode itself would need about 1.5 ft of depth to fully absorb, more than any panel can give, so build corner traps as thick as you can fit (6 to 12 in) and pair them with a membrane trap tuned near 187.6 Hz.
What subwoofer size is right for a 19 by 21 ft room?
There is no fixed sub size tied to 399 sq ft; that number mostly sets this room's mode frequencies (128 of them under 200 Hz). At this size you will want more headroom than a small room needs, and two subwoofers usually beat one at keeping bass even from seat to seat.
Why does my 19x21 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 187.6 Hz. Bass unevenness like that is built into the shape of the room and shows up regardless of what speakers or sub you use.
How do I fix bass problems in a 19x21 room?
Put bass traps in the four floor-to-ceiling corners first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 187.6 Hz, since that note's own quarter wavelength (about 1.5 ft) is too deep for any panel. From there, move your seat to about 8 ft from the front wall, then measure with REW below 125 Hz to see what still needs work.

Similar room sizes

How these numbers are calculated

Modes use the rectangular-room equation f = (c/2)·√((nx/L)² + (ny/W)² + (nz/H)²) with c = 343 m/s, for an empty room with rigid walls. The Schroeder frequency is fs = 2000 x sqrt(RT60 / V), assuming RT60 = 0.4 s. The modal score starts at 100 and subtracts penalties for stacked modes, density dips, gaps, proportions outside the Bolt area and dimension multiples. Doors, openings and furniture shift real rooms away from these values, which is what the room mode calculator and the 3D editor are for.